Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
52800ho |
Isogeny class |
Conductor |
52800 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
5913600 |
Modular degree for the optimal curve |
Δ |
-8.8373603357107E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ -4 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76888833,-259922865537] |
[a1,a2,a3,a4,a6] |
j |
-1963692857508260740/3452093881137 |
j-invariant |
L |
1.6822940909439 |
L(r)(E,1)/r! |
Ω |
0.025489304398034 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52800by1 13200p1 52800em1 |
Quadratic twists by: -4 8 5 |